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3
votes
2answers
97 views
2D FFT of Vector
I have a bunch of 8x8 images which have been vectorized and formed into a 64xN matrix, X. I'd like to take the 2D-FFT of each of these images without reshaping each column of X into an 8x8 image and ...
5
votes
2answers
128 views
How to separate the upwards-propagating from the downwards-propagating waves?
I've got a real 2D image of propagating waves in both directions. How can I separate this image into one with the upward-propagating waves and one with the downward-propagating ones?
This example has ...
6
votes
3answers
232 views
Determining Type and Bandwidth of a filter
Given a filter, if it is given as an equation such as:
$$f(x,y) = \left(\frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2}\right) \exp\left(-\frac{x^2 + y^2}{\sigma^2}\right)$$
Or in ...
2
votes
1answer
51 views
Multidimensionnal wavelet admissibility criteria
I've read there are two admissibility criteria for wavelets, both of which are designed to preserve total power of the signal (source: http://en.wikipedia.org/wiki/Wavelet#Mother_wavelet, as well as ...
2
votes
1answer
396 views
Harmonics in 2-D FFT Signal
In case of 1-D FFT it is far more easier to find number of harmonics and their Respective frequencies and amplitudes.
Lets say if i have 8 points signal the harmonics of it then would be 7 with one DC ...
5
votes
2answers
854 views
Standard Deviation in Gaussian Blur
I have a function that performs gaussian blur on image for some specific $\sigma$ (the standard deviation).
It first computes kernel of size $\lceil 3\sigma \rceil$ and then performs convolution with ...
8
votes
4answers
312 views
Fast/efficient way to decompose separable integer 2D filter coefficients
I would like to be able to quickly determine whether a given 2D kernel of integer coefficients is separable into two 1D kernels with integer coefficients. E.g.
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